Matrix analysis
Multi-Antenna Transceiver Techniques for 3g and Beyond
Multi-Antenna Transceiver Techniques for 3g and Beyond
Cyclic Division Algebras: A Tool for Space-Time Coding
Foundations and Trends in Communications and Information Theory
On the densest MIMO lattices from cyclic division algebras
IEEE Transactions on Information Theory
ISIT'09 Proceedings of the 2009 IEEE international conference on Symposium on Information Theory - Volume 3
Construction methods for asymmetric and multiblock space-time codes
IEEE Transactions on Information Theory
Diversity-multiplexing tradeoff in multiple-access channels
IEEE Transactions on Information Theory
Perfect Space–Time Codes for Any Number of Antennas
IEEE Transactions on Information Theory
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An algebraic tool from the theory of central simple algebras is proposed to obtain families of complex matrices satisfying the conditional non-vanishing determinant (CNVD) property. Such property is of great use in e.g. the design of multiuser space-time (ST) codes, in which context it is not always crucial for the transmission matrix to be invertible. On the other hand, whenever it is invertible, it is important that it has a nonvanishing determinant. Also any submatrix of any subset of users multiplied with its transpose conjugate should preferably have a non-vanishing determinant, provided it is non-zero. In recent submissions by Lu et al. it has been shown that, with suitable multiplexing, such property yields a construction of space-time codes that achieve the optimal diversity-multiplexing tradeoff (DMT) of the multiple-input multiple-output (MIMO) multiple access channel (MAC) and outperform the previously known ST codes.